Mathematical Modeling for Lateral Displacement Induced by Wind Velocity Using Monitoring Data Obtained from Main Girder of Sutong Cable-Stayed Bridge

Abstract

Based on the health monitoring system installed on the main span of Sutong Cable-Stayed Bridge, GPS displacement and wind field are real-time monitored and analyzed. According to analytical results, apparent nonlinear correlation with certain discreteness exists between lateral static girder displacement and lateral static wind velocity; thus time series of lateral static girder displacement are decomposed into nonlinear correlation term and discreteness term, nonlinear correlation term of which is mathematically modeled by third-order Fourier series with intervention of lateral static wind velocity and discreteness term of which is mathematically modeled by the combined models of ARMA(7,4)and EGARCH(2,1). Additionally, stable power spectrum density exists in time series of lateral dynamic girder displacement, which can be well described by the fourth-order Gaussian series; thus time series of lateral dynamic girder displacement are mathematically modeled by harmonic superposition function. By comparison and verification between simulative and monitoring lateral girder displacements from September 1 to September 3, the presented mathematical models are effective to simulate time series of lateral girder displacement from main girder of Sutong Cable-Stayed Bridge.

Bayesian approaches for evaluating wind‐resistant performance of long‐span bridges using structural health monitoring data

“…The buffeting analysis on the Golden Gate Bridge 2 showed that the maximum displacement response of the main span can reach 1.7 m under the wind speed of 31 m/s. Such large amplitude of displacement response would threaten the safety of the whole bridge 3 . For instance, the old Tacoma Narrows Bridge in Washington State collapsed under winds of approximately 18 m/s due to violent torsional oscillations 4 …”

“…Kwon et al 7 conducted buffeting analysis for the catwalk structure of a suspension bridge and evaluated the lateral displacement response through wind tunnel tests. However, accurate prediction of displacement response for a complex long‐span bridge by theoretical exploration, numerical simulation, and wind tunnel tests is still a challenge on account of the inappropriate ignorance of some subordinate factors, imprecise assignment of initial parameters, uncertain boundary conditions, and so on 3 …”

“…Research efforts have been made on correlation regularity between the bridge lateral displacement response and wind speed by use of SHM data, and it turns out that the relationship between the response and wind speed is nonlinear 3,15,16 . In all the previous studies, however, the correlation models were formulated with deterministic model parameters which were estimated by statistical analysis of a large amount of SHM data.…”